Daman \d(a)-man\ as a boy's name is a variant of Damian (Greek) and Damon (Greek), and the meaning of Daman is "one who tames, subdues".
The baby name Daman sounds like Dayman, Damyan and Damen. Other similar baby names are Damar, Dagan, Dalan, Daran, Eaman and Naman.